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Finding the Fourth Proportional to 868.78, 1,198.56 and 635.50

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Solution

The fourth proportional to 868.78, 1,198.56 and 635.50 is: 876.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.78 : 1,198.56 = 635.50 : x
  2. Step 2: Convert to fraction form
    868.78/1,198.56 = 635.50/x
  3. Step 3: Cross multiply
    868.78x = 1,198.56 × 635.50
  4. Step 4: Simplify right side
    868.78x = 761,684.88
  5. Step 5: Solve for x
    x = 761,684.88/868.78
  6. Step 6: Final answer
    x = 876.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.